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Melody - Yesterday you helped me but I need clarifications

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In a game of “Pass it on”, every person that receives a hidden message must then retell that message to three people who have not heard the message in four minutes. The game begins with a person making up a hidden message.

A. Write the number of people that would know the message after an hour. Express your answer in exponential form.

B.  There are approximately 6.2 billion people on the Earth. How long would it take before everyone on Earth knew the message?

My qeustions are:

How does n = 16?

And what does n represent exactly?

https://web2.0calc.com/questions/help-me-pls_42

Many Thanks.

Nov 9, 2021

#1
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n  represents the number of times a new number of persons have received the message and then start to pass it on starting with the original person.

When  n = 1,  only the first person has the message.

When  n = 2,  (4 minutes later) the first person and the three that he/she has told have the message.

When  n = 3,  (8 minutes later) the first four persons and the three that the the last group has told have the message.

Counting:

n = 4   --->   12 minutes later

n = 5   --->   16 minutes later

n = 6   --->   20 minutes later

n = 7   --->   24 minutes later

n = 8   --->   28 minutes later

n = 9   --->   32 minutes later

n = 10   --->  36 minutes later

n = 11   --->  40 minutes later

n = 12   --->  44 minutes later

n = 13  --->   48 minutes later

n = 14  --->   52 minutes later

n = 15  --->   56 minutes later

n = 16  --->   60 minutes later

There are 16 "steps"  -- don't forget to count the first one!

Nov 9, 2021
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Here is the original question.

https://web2.0calc.com/questions/help-me-pls_42

It will not take people any longer to answer you and it will keep all the responses together.

Nov 9, 2021
edited by Melody  Nov 9, 2021
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Hello,

Apologies Melody

I did give the link - I just didnt make it clear to answer over there..

MathyGoo13  Nov 10, 2021